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Finding the Fourth Proportional to 8.13, 12.21 and 7.71

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Solution

The fourth proportional to 8.13, 12.21 and 7.71 is: 11.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.13 : 12.21 = 7.71 : x
  2. Step 2: Convert to fraction form
    8.13/12.21 = 7.71/x
  3. Step 3: Cross multiply
    8.13x = 12.21 × 7.71
  4. Step 4: Simplify right side
    8.13x = 94.14
  5. Step 5: Solve for x
    x = 94.14/8.13
  6. Step 6: Final answer
    x = 11.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.